Agapetus II (946-55)
** John XII (955-63) probable antipope: installed by the power of his family at the age of 18; never accepted the role of the office, never taught the faithful, never guided the Church.

So you mean that, from 1032 till 1046, we only had Antipopes? I thought you said the longest possible time without a Pope was seven years in the Great Tribulation. The Sedevacantists are the ones saying the Chair of Peter can hold only Antipopes for an arbitrarily long time.